T
T-Layer · 5 Goals
Essential Goal Layer
Holds universally for any "agent–world" multi-agent system, regardless of implementation. Violating T doesn't mean the system "runs poorly" — it means the system is no longer the type we are discussing. Serial dependency: T1→T2→T3→T4, T5 runs in parallel.
PA
PA-Layer · 9 Axioms
Abstract Axiom Layer
The structural bridge between T and G. More concrete than T (has structural meaning), more abstract than G (implementation-agnostic). For each PA it can be proven: if not satisfied, some T goal will inevitably fail under some condition.
⇄ FOUR COMPLEMENTARY PAIRS (each side insufficient alone)
G
G-Layer · G0–G8 + Sub-Requirements
Current System Goal Layer
Concretization of PA axioms within the particle system (world/agents/meta). Every G requirement traces back to at least one PA axiom and one T goal. Serial core chain: G0→G1→G2→G3→G4; G5/G6 parallel; G7 LLM-specific; G8 engineering hardening.